1 893 431 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1588273207080640033	19	60.5	2009-08-14 21:06:16
29892007325618301679	20	64.7	2017-12-20 12:25:57
11755455518739969904337	23	73.3	2021-12-03 11:51:30
5206532000264531296106057	25	82.1	2020-07-26 18:32:46

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	107 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Joseph Charrier	6AAA7FDFE73B2B3D	0
Verified (Factored)	1998-12-27	Stephen Wood	6AAA7FDFE73B2B3D	1142917

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	5410D6D241F65FD9	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-04	Oliver Kruse	860A281859589234	1	0	1	3
Verified (Factored)	2017-11-08	ATH	860A281859589234	1	1342920	1	3
Verified (Factored)	2017-12-22	BloodERazor	5410D6D241F65FD9	2	1570591	5	3
Verified (Factored)	2017-12-22	Chun sung soo	5410D6D241F65FD9	2	1037440	5	3
Verified (Factored)	2020-07-27	LOBES	5410D6D241F65FD9	3	1001781	5	3
Verified	2021-12-07	SRJ2877	5410D6D241F65FD9	4	750291	5	3

History

Date	User	Type	Result
2025-09-03	Carlos Pinho	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	5410D6D241F65FD9 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2022-04-12	Lisander Viaene	NF-PM1	B1=500000, B2=2903586840
2022-03-09	LordJulius	NF	no factor from 2^61 to 2^62
2022-03-08	LordJulius	NF	no factor from 2^63 to 2^64
2022-03-08	LordJulius	NF	no factor from 2^62 to 2^63
2021-12-12	curtisc	CERT	PRP Certification Proof certified good
2021-12-07	SRJ2877	C-PRP	M1893431/1588273207080640033/29892007325618301679/11755455518739969904337/5206532000264531296106057 : 5410D6D241F65FD9 PRP proof power = 7 PRP: Verified Proof certified good
2021-12-03	TJAOI	F-ECM	Factor: 11755455518739969904337 / (ECM curve 4, B1=50000, B2=6600000)
2020-07-27	LOBES	C-PRP	M1893431/1588273207080640033/29892007325618301679/5206532000264531296106057 : 5410D6D241F65FD9 PRP: Verified (Factored) PRP without proof (not generated)
2020-07-26	MarkS	F-ECM	Factor: 5206532000264531296106057 / (ECM curve 3, B1=50000, B2=5000000, Sigma=905270319405474)
2017-12-22	Chun sung soo	C-PRP	M1893431/1588273207080640033/29892007325618301679 : 5410D6D241F65FD9 PRP: Verified (Factored) PRP without proof (not generated)
2017-12-22	BloodERazor	C-PRP	M1893431/1588273207080640033/29892007325618301679 : 5410D6D241F65FD9 PRP: Verified (Factored) PRP without proof (not generated)
2017-12-20	TJAOI	F	Factor: 29892007325618301679 / TF: 64-65
2017-11-08	ATH	C-PRP	M1893431/1588273207080640033 : 860A281859589234 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-04	Oliver Kruse	C-PRP	M1893431/1588273207080640033 : 860A281859589234 PRP: Verified (Factored) PRP without proof (not generated)
2009-08-14	Rob_Dee	F-ECM	Factor: 1588273207080640033